Allusion על שבת 43:13

One should place [the Hanukkah light] above three handsbreadths [from the ground]. It is a mitzvah to place it beneath ten handsbreadths. But if he placed it above ten handsbreadths, he has fulfilled his obligation. However, if he placed it above twenty cubits, he has not fulfilled his obligation. Rem"a: And even if he took it as it is, lit, and placed it below twenty cubits, he has not fulfilled his obligation, because the kindling accomplishes the mitzvah. (Beit Yosef quoting Tosafot)

It is a mitzvah to place [the Hanukkah light] in the handsbreadth closest to the entrance on the left, so as to have the mezuzah on the right and the Hanukkah light on the left. But if there is no mezuzah in the entrance, he should place [the Hanukkah light] on the right. If one places it in the doorway itself, he should place it on the leftmost half of the entrance. Rem"a: However nowadays, when all kindle inside, and there is no distinction for the people of the public domain at all, one should not worry so much if we do not kindle it in the handsbreadth closest to the entrance. In any case, the custom is to kindle it in the handsbreadth closest to the entrance, as in [our ancestors'] days, and one should not deviate; unless the household members are many, [in which case] it is preferable for each one to kindle in a unique place rather than mixing the lights together, with no distinction of the number of lights they are kindling. In any case, they should take care not to kindle in the same place where they kindle lights all year, since then there would be no distinction at all. And even though there is only no distinction except for the members of the household, some distinction at least is necessary. In the synagogue, one should place [the Hanukkah light] at the southern wall (or to the south of the lamp, and he should arrange them from east to west). (Terumat Hadeshen Section 104, Beit Yosef) We kindle and recite the benedictions (in the synagogue) for the sake of publicizing the miracle. Rem"a: A person does not fulfill his obligation with the lights of the synagogue, and needs to kindle again in his own house. (Isaac ben Sheshet Section 111) We have the custom to kindle in the synagogue between the afternoon prayer and the evening prayer. Some have the custom to kindle on the Sabbath Eve before the afternoon prayer. (Kol Bo and Book of Abudirham) If [the prayer leader] wants to quickly pray right away after [he] has recited the benedictions and kindled one of them, the synagogue attendant may kindle the rest, and the prayer leader may pray. (Jacob ben Moses Moelin)

It is a mitzvah to place [the Hanukkah light] in the handsbreadth closest to the entrance on the left, so as to have the mezuzah on the right and the Hanukkah light on the left. But if there is no mezuzah in the entrance, he should place [the Hanukkah light] on the right. If one places it in the doorway itself, he should place it on the leftmost half of the entrance. Rem"a: However nowadays, when all kindle inside, and there is no distinction for the people of the public domain at all, one should not worry so much if we do not kindle it in the handsbreadth closest to the entrance. In any case, the custom is to kindle it in the handsbreadth closest to the entrance, as in [our ancestors'] days, and one should not deviate; unless the household members are many, [in which case] it is preferable for each one to kindle in a unique place rather than mixing the lights together, with no distinction of the number of lights they are kindling. In any case, they should take care not to kindle in the same place where they kindle lights all year, since then there would be no distinction at all. And even though there is only no distinction except for the members of the household, some distinction at least is necessary. In the synagogue, one should place [the Hanukkah light] at the southern wall (or to the south of the lamp, and he should arrange them from east to west). (Terumat Hadeshen Section 104, Beit Yosef) We kindle and recite the benedictions (in the synagogue) for the sake of publicizing the miracle. Rem"a: A person does not fulfill his obligation with the lights of the synagogue, and needs to kindle again in his own house. (Isaac ben Sheshet Section 111) We have the custom to kindle in the synagogue between the afternoon prayer and the evening prayer. Some have the custom to kindle on the Sabbath Eve before the afternoon prayer. (Kol Bo and Book of Abudirham) If [the prayer leader] wants to quickly pray right away after [he] has recited the benedictions and kindled one of them, the synagogue attendant may kindle the rest, and the prayer leader may pray. (Jacob ben Moses Moelin)

Oils and Wicks That Are Fit for Use on Hanukkah, 4 Seifim: 1. All oils and wicks are fit for use for the Hanukkah light, even if the oils are not drawn after the wick, and the illumination is not held well by those wicks. RAMA: However, olive oil is a choice mitzvah, (Mordechai, Kol Bo and Mahari"l) and if olive oil is not available it is a mitzvah with oils whose illumination is pure and clean, and we have the custom in these countries to kindle with wax candles since their illumination is clear like oil. And even on the night of the Sabbath that is in the middle of the days Hanukkah it is permissible to kindle the Hanukkah light with the oils and wicks with which it is prohibited to kindle the Sabbath candles... [this is] if one only puts in the light enough [oil] for the measure of its mitzvah. (Responsa of Rashb"ah Section 170).since it is prohibited to utilize the Hanukkah light whether on the Sabbath or on a weekday, even to check [the authenticity of] coins or to count them by its illumination; even a holy use is prohibited, such as studying [Torah] by its illumination. And there is [an opinion] that permits a holy use. We have the custom to kindle an additional light, in order that if one uses its illumination, it would be the additional light, which was kindled last, and it should be placed at a small distance from the other obligatory lights. In these countries, we do not have the custom to add, one only places by them the auxiliary light with which he kindles the lights, and this is more preferable. And it should be made longer than the other lights, so that if he comes to use [the illumination], he will use that light. (Mordechai) If a Hanukkah light, which is prohibited for pleasure, becomes mixed with other lights, even one in a thousand, it is not nullified, for it is a thing that can be counted. (Terumat Hadeshen Section 103) Rather, one should kindle from the mixture enough [lights] that there is definitely a permissible light lit with the prohibited light, and then it would be permitted to use [their illumination]. ([Ram"a's] own opinion)

That it is Permitted to Kindle Lights From One Another, 2 Seifim: 1. We kindle one Hanukkah light from [another] Hanukkah light, and specifically kindling one from another without an intermediary, but kindling one from another through a non-sacred light is prohibited. And some permit even this, unless it is in such a way that there is concern that the non-sacred light will be extinguished before kindling the other Hanukkah light. RAMA: And we have adopted the custom to be stringent with the Hanukkah lights not to kindle even from one light to another, for its main mitzvah is only one candle, and the rest are not as much for the mitzvah. Therefore one should not kindle one from another. (Hagahot Maimoniot and Mordechai) And all this is only while they are still alight for the mitzvah, but after the time of the mitzvah has passed, it is permitted to benefit from them, [so] all the more so it is permitted to kindle from them. (Beis Yosef)

4. What remains on the eighth day of the oil necessary for the measure for kindling — he makes a bonfire for it and burns it by itself, for it has been set aside for its mitzvah. And if it becomes mixed with other oil and there is not sixty parts to nullify it, there is [an opinion] that says that one should not add to it in order to nullify it.